Consider the following Bayesian network with variables A$,$ B$,$ C$,$ D$,$ E$,$ F$,$ G$,$ H$.$ Cate$-$

gorize the following as d$-$separated or d$-$connected with respect to the given BN$.$

$($a$)$ A $$ F $|\{\}$ or A $$ F

$($b$)$ H $$ D $|$ A

$($c$)$ H $$ D $|\{$A$,$ E$\}$

$($d$)$ B $$ G $|\{\}$

$($e$)$ B $$ G $|\{$D$\}$

$($f$)$ A $$ B $|\{$E$,$ F $\}$